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Finding the Fourth Proportional to 386,478.40, 579,688.80 and 161,780.80

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Solution

The fourth proportional to 386,478.40, 579,688.80 and 161,780.80 is: 242,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,478.40 : 579,688.80 = 161,780.80 : x
  2. Step 2: Convert to fraction form
    386,478.40/579,688.80 = 161,780.80/x
  3. Step 3: Cross multiply
    386,478.40x = 579,688.80 × 161,780.80
  4. Step 4: Simplify right side
    386,478.40x = 93,782,517,815.04
  5. Step 5: Solve for x
    x = 93,782,517,815.04/386,478.40
  6. Step 6: Final answer
    x = 242,659.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.